# How hard a polynomial?

Level pending

If a polynomial $$p(x)=a_qx^q+a_{q-1}x^{q-1}+\cdots+a_1x+a_0$$ satisfies

$p(m+n+p(m^{2014}-2014n))=2014+p(m)+p(n)$

for all integral values of $$m,n$$, find the largest value of $$q$$

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